Thackeray Hall 703
Abstract or Additional Information
ABSTRACT: We consider the Navier-Stokes equations describing a viscous compressible and heat-conductive fluid in two-dimensional space. By imposing a weight function to initial density and constructing an ad-hoc cut-off to control the quadratic nonlinearity in temperature equation, We prove the local in time existence of strong solutions for the Cauchy problem. There is no restriction on the size of the initial data, and the vacuum state at infinity or the compactly supported density is permitted.